Mathematics, 09.11.2020 14:00 lazavionadams81

Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?

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Answer from: drastipatel18

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you